In a certain high school, 9 out of 15 tenth graders said they planned to go to college after graduating.

Construct a 95% confidence interval for the proportion of tenth graders who plan to attend college:

a. Using Wilson’s method

b. Using the small-sample method

c. Using the traditional method Wilson’s interval: The small-sample method for constructing a confidence interval is a simple approximation of a more complicated interval known as Wilson’s interval. Let p̂ = x∕n.
Wilson’s confidence interval for p is given by

Transcribed Image Text:

Za/2 + 2n 2 2a/2 1+ p(1 - p) + Za/22 4n2 Za/2 n 2 n